factor

25a^4+40a^2+16

25a⁴ + 40a² + 16 = (5a² + 4)² 

Perform the indicated operations on the following polynomials. 

2.Divide: 6x3 + 27x - 19x2 - 15 by 3x -5 

..............2x² – 3x + 4 
...........__________________ 
3x – 5 ) 6x³ – 19x² + 27x – 15 
..............6x³ – 10x² 
............--------------------------... 
....................– 9x² + 27x – 15 
....................– 9x² + 15x 
...................-------------------... 
................................12x – 15 

This was also on my homework.. :D


(5a³ – 4a + 7) – (6a³ – 2a² + 4) = 5a³ – 4a + 7 – 6a³ + 2a² – 4) 
......................................... = 5a³ – 6a³ + 2a² – 4a + 7 – 4 
......................................... = – a³ + 2a² – 4a + 3 


4.Factor the following polynomial completely. 

y² + 12y + 36 = (y + 6)²

actor the following: 25 a^4+40 a^2+16 Using 25 a^4+40 a^2+16 = (5 a^2)^2+2 (5 a^2) (4)+(4)^2, the coefficients match the 3^rd row of Pascal's triangle, so 25 a^4+40 a^2+16 = (5 a^2+4)^2: Answer: | | (5a^2+4)^2